3. Two realizations for the same transfer function are and 3 5-74 2 3 0 0...

 

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3. Two realizations for the same transfer function are and 3 5-74 2 3 0 0 10 2 4 *1 = x1 + 2-1 01 -1 0 1 1 0 1 0 -1 y= [1-309] 1 10 4-6 -9 4 6 21 -1 -2 -2-5 12 = x2+ u 12 8-7-15 1 3 100 0 0 - -1 Y = 1404] x2 (a) Verify that the transfer functions are the same using MATLAB. Enter the system matrices as A, B, C, D and find the transfer function using H_ssss (A,B,C,D); H = tf (H_ss) (b) Verify that the realizations are minimal. (c) Find a transformation matrix P for which x2 = Px1. 3. Two realizations for the same transfer function are and 3 5-74 2 3 0 0 10 2 4 *1 = x1 + 2-1 01 -1 0 1 1 0 1 0 -1 y= [1-309] 1 10 4-6 -9 4 6 21 -1 -2 -2-5 12 = x2+ u 12 8-7-15 1 3 100 0 0 - -1 Y = 1404] x2 (a) Verify that the transfer functions are the same using MATLAB. Enter the system matrices as A, B, C, D and find the transfer function using H_ssss (A,B,C,D); H = tf (H_ss) (b) Verify that the realizations are minimal. (c) Find a transformation matrix P for which x2 = Px1.